Assignment 4 : Centers of a Triangle

The Centroid of a triangle is the point where all three medians intersect. The Centroid is generally shown with the letter G. A median is a line segment or a ray that connects one of the vertices of the triangle to the midpoint of the opposite side. A median divides the side to the two equal parts such that |BE|=|AE|, |AD|=|CD|, and |BF|=|CF|. Below is a construction that should help you visualize a centroid.


G is the CENTROID of ABC triangle.Here ABC is a Acute triangle.


There are several important specifics of the Centroid and Medians. Some of these are:





Right Triangle